Weusequantitativemathematicalmodelsofphysicalsystemstodesignandanalyzecontrolsystems.Thedynamicbehaviorisgenerallydescribedbyordinarydifferentialequations.Wewillconsiderawiderangeofsystems,includingmechanical,hydraulic,andelectrical.Sincemostphysicalsystemsarenonlinear,wewilldiscusslinearizationapproximations,whichallowustouseLaplace...
Mathematical modelsAnalog-digital computersOrbital trajectoriesPerturbation theoryIonospheric propagationRadiation measurement systemsProgramming(Computers)SimulationParticle trajectoriesThis report describes the applications of hybrid computer techniques to three areas of scientific investigation. The areas investigated were...
On theapplicability of the classical method The classical method for finding models of systems In this paper a "classical procedure" is discussed for building mathematical models of physical, technological and real-life phenomena. The method is accompanied by appropriate remarks and applications. In ...
Modern modeling languages for general physical systems, such as Modelica, Amesim, or Simscape, rely on Differential Algebraic Equations (DAE), i.e., constraints of the form f(dot{x},x,u)=0. This drastically facilitates modeling from first principles of the physics and the reuse of models....
This volume is a narrative and interpretive history of the physical and mathematical sciences from the early nineteenth century to the close of the twentie... MJ Nye 被引量: 2发表: 2002年 Mathematization in the Sciences What is frequently meant is that there are good mathematical models for ...
1.Mathematical modelling of systems in applied sciences; 2.Mathematical methods for the qualitative and quantitative analysis of models of mathematical physics and technological sciences; 3.Numerical and computer treatment of mathematical models or real systems. ...
Chapter 1 "Some basic models of physical systems" introduces the reader to the subject through the discussion of a selection of simple models describing dynamics of well-known processes like motion of a particle in gravitational field or 1-D nonlinear oscillations and vibrations. Integral models ...
1.Mathematical modelling of systems in applied sciences; 2.Mathematical methods for the qualitative and quantitative analysis of models of mathematical physics and technological sciences; 3.Numerical and computer treatment of mathematical models or real systems. ...
The methodology and principles for establishing and studying mathematical models in systems biology were reviewed. The theoretical backgrounds and developments of flux balance analysis, elementary flux modes, biochemical system theory, and metabolic control analysis were introduced. The relationship and applica...